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Finding the Fourth Proportional to 34.71, 52.07 and 24

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Solution

The fourth proportional to 34.71, 52.07 and 24 is: 36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.71 : 52.07 = 24 : x
  2. Step 2: Convert to fraction form
    34.71/52.07 = 24/x
  3. Step 3: Cross multiply
    34.71x = 52.07 × 24
  4. Step 4: Simplify right side
    34.71x = 1,249.56
  5. Step 5: Solve for x
    x = 1,249.56/34.71
  6. Step 6: Final answer
    x = 36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.